Oscillation of modified Euler type half-linear differential equations via averaging technique

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00126298" target="_blank" >RIV/00216224:14310/22:00126298 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Oscillation of modified Euler type half-linear differential equations via averaging technique
Original language description
In this article, we analyze the oscillation behavior of half-linear differential equation (r(t)t^(p-1)Phi(x'))' + s(t)/(t log^p t) Phi(x) = 0, Phi(x) = |x|^(p-1) sgn x, p > 1. Applying the modified half-linear Prüfer angle and a general averaging technique over unbounded intervals, we prove an oscillation criterion for the studied equation. We point out that the presented oscillation criterion is new even in the linear case when p = 2.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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